Necessary conditions to solve fractional order wave equations using traditional Laplace transforms

DOI10.1515/FCA-2015-0078zbMath1334.35404OpenAlexW2564414359MaRDI QIDQ898899

Ronald L. Bagley, Andrew W. Wharmby

Publication date: 21 December 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0078

zbMATH Keywords

Laplace transformswave equationfractional calculusfractional ordinary and partial differential equationsLeibniz integral rule

Mathematics Subject Classification ID

Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fractional partial differential equations (35R11)

Related Items (1)

Complex fractional Zener model of wave propagation in \(\mathbb{R}\)

Cites Work

• Unnamed Item
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Modifying Maxwell's equations for dielectric materials based on techniques from viscoelasticity and concepts from fractional calculus
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures

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